I just wanted to double-check these three statements, as I'm not entirely sure I understood it completely:

1. A stationary electric charge (let's say a proton) produces electric field.
2. A moving non-accelerating proton produces magnetic field.
3. An accelerating proton produces electromagnetic waves.

Is that true? Does an accelerating proton also produce magnetic field or only electromagnetic waves? What is the rationale behind the third sentence? Is it because some of a proton's energy gets lost in the process of changing velocity and transfers into the electromagnetic wave energy?